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摘要翻译：
我们提出了一个基于操作方法的肿瘤细胞增殖动力学系统。我们提出的方法是类量子的：我们使用梯形算子和数算子来描述健康和肿瘤细胞的出生和死亡，进化由一个非厄米哈密顿量来控制，该哈密顿量以不可逆的方式包括我们所考虑的系统的基本生物学机制。我们证明了这种方法在描述细胞的某些过程中是相当有效的。我们进一步增加了一些药物治疗，通过在哈密顿量中增加一个适当的术语来描述，它控制和限制肿瘤细胞的生长，我们提出了一种阻止和逆转这种生长的最佳方法。
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英文标题：
《Non-hermitian operator modelling of basic cancer cell dynamics》
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作者：
F. Bagarello, F. Gargano
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最新提交年份：
2018
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分类信息：
一级分类：Quantitative Biology 数量生物学
二级分类：Other Quantitative Biology 其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要：
We propose a dynamical system of tumor cells proliferation based on operatorial methods. The approach we propose is quantum-like: we use ladder and number operators to describe healthy and tumor cells birth and death, and the evolution is ruled by a non-hermitian Hamiltonian which includes, in a non reversible way, the basic biological mechanisms we consider for the system. We show that this approach is rather efficient in describing some processes of the cells. We further add some medical treatment, described by adding a suitable term in the Hamiltonian, which controls and limits the growth of tumor cells, and we propose an optimal approach to stop, and reverse, this growth.
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PDF链接：
https://arxiv.org/pdf/1804.03139
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